12735550688 has 96 divisors (see below), whose sum is σ = 28953941184. Its totient is φ = 5401423872.

The previous prime is 12735550687. The next prime is 12735550699. The reversal of 12735550688 is 88605553721.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735550687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18811406 + ... + 18812082.

It is an arithmetic number, because the mean of its divisors is an integer number (301603554).

Almost surely, 2^12735550688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12735550688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476970592).

12735550688 is an abundant number, since it is smaller than the sum of its proper divisors (16218390496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12735550688 is a wasteful number, since it uses less digits than its factorization.

12735550688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 50.

The spelling of 12735550688 in words is "twelve billion, seven hundred thirty-five million, five hundred fifty thousand, six hundred eighty-eight".